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The 2.5-generation (2.5G) ground-based gravitational wave (GW) detectors LIGOVoyager and Neutron Star Extreme Matter Observatory (NEMO) are expected to beoperational in the late 2020s and early 2030s. In this work, we explore thepotential of GW standard sirens observed by the 2.5G GW detectors in measuringcosmological parameters, especially for the Hubble constant. We consider theoptimistic scenario in which short $\gamma$-ray bursts (SGRBs) from BNS mergerscould be detected by the THESEUS-like GRB detector. Then we predict the numberof joint GW-SGRB events based on the 10-year observation and use the mockbright siren data to perform the cosmological analysis. Our results show thatLIGO Voyager and NEMO alone could measure the Hubble constant to precisions of$1.43\%$ and $1.07\%$, respectively, close to the standard of precisioncosmology. Moreover, the bright sirens from 2.5G detectors could effectivelybreak the cosmological parameter degeneracies generated by the CMB data. Whencombined with CMB, the constraint precision of dark-energy equation of state$w$ could achieve $3.31\%$, which is comparable with the constraint results ofthe latest CMB+SN data. In the conservative scenario in which electromagneticcounterparts are not available, due to the limit of the detector's sensitivity,we only consider the observation of LIGO Voyager. The constraint precision ofthe Hubble constant could reach $1.98\%$. When combining the mock bright anddark siren data of LIGO Voyager, the constraint precision of the Hubbleconstant could reach $1.06\%$, rather close to the standard of precisioncosmology. We conclude that the magnificent prospect for solving the Hubbletension is worth expecting in the era of the 2.5G ground-based GW detectors.

Standard siren cosmology in the era of the 2.5-generation ground-based gravitational wave detectors: bright and dark sirens of LIGO Voyager and NEMO